Which number below best represents a depth of two meters below the ground?
A. -2
B. 20
C. 2
D. -20

The slope of the line that passes through the points (0, -6) and (0, -5)is undefined.

Slope is line's inclination with regard to the horizontal is quantified numerically. In analytical geometry, a line, ray, or line segment's slope is the ratio of the vertical to horizontal distance between any two points on the line, ray, or line segment ("slope equals rise over run").

In differential calculus, the derivative of a function yields the slope of a line tangent to its graph, which represents the function's instantaneous rate of change with respect to changes in the independent variable.

Ok so slope is the change in y over change in x.

Your why changed from 6 to -5 so you can write this as -5 - 6

Your x didn’t change it went from 0 to 0

You can write this as 0-0

Now -11/0 is what you end up with as a slope.

Any number divided by 0 is undefined so your slope is undefined.

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The factory must produce 6,400 parts  so that there is 1 ton of scrap aluminum for recycling.

It is given that For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton we need to find how many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling

What is a Ratio?

A quantitative relation between two amounts showing the number of times one value contains in another

1 part produced  ⇒ 5 ounces scrap aluminium recycled.

So, the ratio of parts produced : Scrap of aluminium = 1   : 5  .... (a)

Let us assume for m parts produced ,  1 ton of scrap is recycled.

Also, 1 ton = 2, 000 pounds

and 1 pound = 16 ounces

⇒ 1 ton = 2000 x (16 ounces)  = 32,000 ounces

So, for m parts made in the  factory, 32,000 ounces scrap is recycled.

So, the ratio of parts produced : Scrap of aluminium =  m   : 32,000  .... (b)

From both the given ratio, we get

1   : 5  = m   : 32,000

m=32000/5

m=6400

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Answer: 129 m^2

Step-by-step explanation

Answer: 129 m^2

Step-by-step explanation:

Answer:

In the equation y = 2 cos(5x + 3) - 6, we can ignore the coefficients 2 and -6 for the purposes of calculating the period because they do not change the period. They only change the amplitude (2) and vertical shift (-6) of the function.

The coefficient 5 in front of x inside the cosine function affects the period of the function. It is a horizontal compression/stretch of the graph of the function.

The period of the basic cosine function, y = cos(x), is 2π. When there is a coefficient (let's call it b) in front of x, such as y = cos(bx), the period becomes 2π/b.

So, in your case, b = 5, so the period T of the function y = 2 cos(5x + 3) - 6 is:

T = 2π / 5

This is the simplest form for the period of the given function.

According to the information given in the exercise:

- Company A charges $94 and allows unlimited mileage.

- Company B has an initial fee of $55 and charges an additional $0.60 for every mile driven.

- The variable "m" represents the number of miles driven.

Then, using that information, you can set up this equation for the total charge in Company A:

And you can also set up this equation for the total charge in Company

Since you must find for what mileages the Company A will charge less than Company, you need to set up the following inequality:

Now you can solve for "m":

Hence, the answer is:

Company A will charge less than Company B for:

Answer:

2|x+3|+3

Step-by-step explanation:

The graph will go 2 units higher for the "b" im not sure about the reflection though innit.

We want to find three consecutive odd numbers.

Let the first odd number be x.

Then, the second one will be x + 2

The third will be x + 2 + 2, that is, x + 4

3 times the last number increased by the second is 50. That is:

Solve that by expanding the bracket and collecting like terms:

Therefore, the three consecutive numbers are:

x = 9

x + 2 = 11

x + 4 = 13

9, 11 and 13

Answer:

45

Step-by-step explanation:it gives you the answer chiices if you plug each number into x and then do the equation you will get 180

Answer:  45

Step-by-step explanation:

Did the test.

The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

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Answer:

The given polynomial already has two terms that can be factored out:

9x^2y^6 - 25x^4y^8 = (3xy^3)^2 - (5x^2y^4)^2

Now we have a difference of squares:

= (3xy^3 - 5x^2y^4)(3xy^3 + 5x^2y^4)

Therefore, 9x^2y^6 - 25x^4y^8 can be rewritten as the product of (3xy^3 - 5x^2y^4) and (3xy^3 + 5x^2y^4).

Answer: The answer would be   (3xy^3-5x^2y^4)(3xy^3+5^2y^4)

(C)

Step-by-step explanation: Cant explain how to but for a quick answer it is C, and you can check the image for proof.

Answer:

B. two

Hope this helps you!

\( \qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

The given expression is :

\(\qquad \sf  \dashrightarrow \: 5 - 3c + 21\)

Now, first simplify the expression ~

\(\qquad \sf  \dashrightarrow \: 5 + 21 - 3c\)

\(\qquad \sf  \dashrightarrow \: 26 - 3c\)

Count the number of terms ~

Hence, we get the two terms in the given expression.

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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Answer:

60

Step-by-step explanation:

Length=4w

Width=w

Area=length×width

144= 4w × w

4w²=144( Divide both sides by 4)

w²=36

w²-36=0 (Factorise the Quadratic Equation)

(w+6)(w-6)=0

(w+6)=0 or (w-6)=0

w= -6 or w=6

Since length can't be a negative value,

w=6

4w=6×4=24

Perimeter= 6+6+24+24=60

The standard algorithm of multiplication is the use of partial products to calculate the products of numbers.

The product of 62865 and 17 using standard algorithm is 1068705

Given

\(62865 \times 17\)

Using the standard algorithm, the product will be rewritten as follows:

\(\left\begin{array}{ccccc}6&2&8&6&5\\\times& & &1&7\end{array}\right\)

Multiply 7 by 5;

The result is 35; write down 5; carry 3

\(\left\begin{array}{ccccc}6&2&8&6&5\\\times& & &1&7& & & & &5\end{array}\right\)

Multiply 7 by 6;

The result is 42; add 42 to the previous carry (i.e. 3)

The result is 45; write down 5; carry 4

\(\left\begin{array}{ccccc}6&2&8&6&5\\\times& & &1&7& & & &5 &5\end{array}\right\)

Multiply 7 by 8;

The result is 56; add 56 to the previous carry (i.e. 4)

The result is 60; write down 0; carry 6

\(\left\begin{array}{ccccc}6&2&8&6&5\\\times& & &1&7& & &0 &5 &5\end{array}\right\)

Multiply 7 by 2;

The result is 14; add 14 to the previous carry (i.e. 6)

The result is 20; write down 0; carry 2

\(\left\begin{array}{ccccc}6&2&8&6&5\\\times& & &1&7& &0 &0 &5 &5\end{array}\right\)

Multiply 7 by 6;

The result is 42; add 42 to the previous carry (i.e. 2)

The result is 44; write down 44; because we have reached the first digit

\(\left\begin{array}{cccccc}&6&2&8&6&5\\\times& & & &1&7\\ 4&4&0 &0 &5 &5\end{array}\right\)

Multiply 1 by 5;

The result is 5; write down 5

\(\left\begin{array}{cccccc}&6&2&8&6&5\\\times& & & &1&7\\ 4&4&0 &0 &5 &5\\&&&&5\end{array}\right\)

Multiply 1 by 6;

The result is 6; write down 6

\(\left\begin{array}{cccccc}&6&2&8&6&5\\\times& & & &1&7\\ 4&4&0 &0 &5 &5\\&&&6&5\end{array}\right\)

Multiply 1 by 8;

The result is 8; write down 8

\(\left\begin{array}{cccccc}&6&2&8&6&5\\\times& & & &1&7\\ 4&4&0 &0 &5 &5\\&&8&6&5\end{array}\right\)

Multiply 1 by 2;

The result is 2; write down 2

\(\left\begin{array}{cccccc}&6&2&8&6&5\\\times& & & &1&7\\ 4&4&0 &0 &5 &5\\&2&8&6&5\end{array}\right\)

Multiply 1 by 6;

The result is 6; write down 6

\(\left\begin{array}{cccccc}&6&2&8&6&5\\\times& & & &1&7\\ 4&4&0 &0 &5 &5\\6&2&8&6&5\end{array}\right\)

Add the calculated results;

i.e. 440055 and 628650

So, we have:

\(\left\begin{array}{cccccc}&6&2&8&6&5\\\times& & & &1&7\\ 4&4&0 &0 &5 &5\\6&2&8&6&5\\10&6&8&7&0&5\end{array}\right\)

Hence:

\(62865 \times 17 =1068705\)

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Callie will have $104.12 less than what she earned each month.

A number which can be represented in the form p/q where q ≠ 0 are called Rational Numbers.

The complete question is

Callie was billed $416.48 for car repairs. She will pay the service center in 4 equal monthly installments from her bank account.

What is the net change in her bank account balance after each monthly payment? The net change to Callie’s bank account is -$416.48.

The negative sign indicates money leaving Callie’s account. Which rational number represents the number of months that Callie has to pay off the bill? What does the sign on the number mean?

Write an expression to represent the net change to Callie’s account balance each month.

The number of months Callie has to pay the bill is for 4 months, as there are 4 equal installments

The net change in account in Callie's Account balance each month is

-$416.48  / 4 = -$104.12.

The (-) sign indicate the reduction of the net balance from her account.

Callie will have $104.12 less than what she earned each month.

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The percent of sales tax on the food total is 6%.

We must first determine the 20% of the total amount of food that is the tip:

Tip = 0.2 * $32.50 = $6.50

The total cost of the meal before tax is:

Total cost before tax = food total + tip = $32.50 + $6.50 = $39.00

The cost of the lunch, including the sales tax of $1.95, is

Sales tax and the total cost before taxes = $39.00 + $1.95 =  $40.95.

The final price of the lunch, including tax and tip, is thus $40.95. You can compute the percentage of sales tax on the entire amount of food as follows:

Percent of sales tax on food = (sales tax / food total) * 100%

= ($1.95 / $32.50) * 100%

= 6%

So, the percent of sales tax on the food total is 6%.

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The number of sea stars is 64.

What is a ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other.

In general, a: b, which can be interpreted as "a is to b," is used to denote a ratio between two quantities, let's say "a" and "b."

This ratio is expressed in fraction form as a/b. We utilize the same method for further simplifying a ratio as we use for further simplifying a fraction.

According to the question,

Ratio of sea stars to wolf eels = 4:5

Number of rock fish= 5/8 (Number of sea stars)

Number of wolf eels - Number of rock fish = 40

Using the given information, we get,

Number of sea stars = 8/5 (Number of rock fish)

On simplification,

Number of wolf eels = 80

So, number of sea stars = (4/5)*80

                                          = 64

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Answer:

4/10

Step-by-step explanation:

You ignore the bottoms so you will need to subtract the3 from the 7 getting you 4.

Now you can put the 4 back on top of the 10 so you will have a fraction, 4/10 :)

Have a great day!!

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Answer: probably like 1.8%

Step-by-step explanation:

Answer:

  $2756 million

Step-by-step explanation:

  2.756×10⁹ = 2756×10⁶

Sales in 2014 were $2756 million.

_____

Comment on the question

In the US, a billion is 1000 million. In some other parts of the world, a billion is a million million. This sort of question can be ambiguous.

The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.

In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:

x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]

x = 284.372 mi

The distance x is equal to 284.372 miles.

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Answer:

11 and 13

Step-by-step explanation:

The square root of 144 is 12 so the numbers must be close to that

since one number is two greater go up 1 and down 1 from 12

12 - 1 = 11

12 + 1 = 13

11 * 13 = 143

===============================================

Explanation:

There are two approaches we can take.

The first approach is finding the amount we save, which is 5% of 15 = 0.05*15 = 0.75 dollars or 75 cents.

So the new price is 15 - 0.75 = 14.25 dollars

----------------

The second approach is to think of it like this: If you save 5%, then you still have to pay the remaining 95% (the two percentages add to 100%).

95% of 15 = 0.95*15 = 14.25

This second approach is handy if you want to chain multiple discounts together. So let's say there's a special 10% off sale on top of the 5% discount. We would multiply by 0.90 to further discount by 10% and get to 0.90*0.95*15 = 12.825 = 12.83. It also works in reverse too and we could chain percent increases along with percent decreases.

When the pyramid is cut out of the prism, it has a volume of 36 cubic meters and the same base and height.

It is also known as the object's capacity. The fundamental equation for volume is length, width, and height, as opposed to the fundamental equation for the area of a rectangular shape, which is length, breadth, and height. The math is the same regardless of how you refer to the different dimensions. For example, you can substitute "depth" for "height." Volume is used to describe an object's capacity.  Volume can also be used to describe how much space a three-dimensional object occupies.

given

The ratio of their volumes is always one to three

Since the volume of a prism is 108 cubic meters,

a pyramid's volume is 1/3 * 108, or 36 cubic meters.

When the pyramid is cut out of the prism, it has a volume of 36 cubic meters and the same base and height.

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Answer:

BC = 40º

BMC = 40º

Step-by-step explanation: Since the measure the major and minor arcs add up to 360º, just subtract 320 from 360 to find BC which is 40º. <BMC is also 40º because the measure of the arc is equal to its corresponding angle.

The two solutions to the given initial-value problem are x₁(t) = 0 and x₂(t) = (2/3t)³/² for t > 0. Using the Taylor series method results in a diverging series, as x₄(t) approaches infinity as t approaches 0.

To verify that x₁(t) = 0 is a solution:

x₁'(t) = (0)¹/³ = 0

Therefore, x₁(t) = 0 is a solution.

To verify that x₂(t) = (2/3t)³/² is a solution:

x₂'(t) = [3/2(2/3t)¹/²] * (-2/3t⁻²)

= -[2/3t]¹/² / t²

= -[2/(3t³)]¹/²

Therefore, x₂'(t) = x₂¹/³(t).

Also, x₂(0) = [2/(3*0)]³/² = undefined, so x₂(t) is not a solution to the initial-value problem with x(0) = 0.

Now, let's use the Taylor series method to solve the initial-value problem:

x₀(t) = 0

x₁(t) = x₀(t) + x₀'(t) * (t - 0)

= 0 + 0 * t

= 0

x₂(t) = x₁(t) + [x₁'(t) + (1/2)x₀''(t)] * (t - 0)²

= 0 + [0 + (1/2)(0)] * t²

= 0

x₃(t) = x₂(t) + [x₂'(t) + (1/2)x₁''(t) + (1/6)x₀'''(t)] * (t - 0)³

= 0 + [x₂¹/³(t) + (1/2)(0) + (1/6)(0)] * t³

= [2/(3t³)]¹/²

x₄(t) = x₃(t) + [x₃'(t) + (1/2)x₂''(t) + (1/6)x₁'''(t) + (1/24)x₀''''(t)] * (t - 0)⁴

= [2/(3t³)]¹/² + [-(3/4)[2/(3t³)]⁵/² + (1/2)(0) + (1/6)(0) + (1/24)(0)] * t⁴

= [2/(3t³)]¹/² - (3/4)[2/(3t³)]⁵/² * t⁴

As t approaches 0, x₄(t) approaches infinity. This suggests that the Taylor series method diverges for this initial-value problem.

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:)

9514 1404 393

Answer:

  A = 2

Step-by-step explanation:

Using 0 for p, we have ...

  F(0) = (2·0 +4)/(0 -A) = 4/-A

We want this to be -2, so ...

  -2 = 4/-A

  A = 4/(-(-2)) = 2 . . . . multiply by A/-2

  A = 2

Answer:

- 6x^2 - 5x + 4

Step-by-step explanation:

- (2x - 1)(3x + 4)

- (6x^2 + 8x - 3x - 4)

- (6x^2 + 5x - 4)

- 6x^2 - 5x + 4

Answer:

Step-by-step explanation:

ture

Answer:

false

Step-by-step explanation:

-7 is not greater than POSITIVE 6

a negative is no greater than a positive .

to make it a solution

flip the sign : -7 < 6